تقرير
Landau-Ginzburg/Conformal Field Theory Correspondence for $x^d$ and Module Tensor Categories
| العنوان: | Landau-Ginzburg/Conformal Field Theory Correspondence for $x^d$ and Module Tensor Categories |
|---|---|
| المؤلفون: | Camacho, Ana Ros, Wasserman, Thomas A. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Category Theory, 18M20, 81R50 |
| الوصف: | The Landau-Ginzburg/Conformal Field Theory correspondence predicts tensor equivalences between categories of matrix factorisations of certain polynomials and categories associated to the $N=2$ supersymmetric conformal field theories. We realise this correspondence for $x^d$ for any $d$, where previous results were limited to odd $d$. Our proof uses the fact that both sides of the correspondence carry the structure of module tensor categories over the category of $\mathbb{Z}_d$-graded vector spaces equipped with a non-degenerate braiding. This allows us to describe the CFT side as generated by a single object, and use this to efficiently provide a functor realising the tensor equivalence. Comment: Comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.01045 |
| رقم الأكسشن: | edsarx.2206.01045 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |